Evaluation of certain families of log-cosine integrals using hypergeometric function approach and applications

In this paper, we provide the analytical solutions of the families of certain definite integrals: $\int_0^\pi x^{m}\{\ln(2\cos\frac{x}{2})\}^{n}dx$ $(m\in\mathbb{N}_{0}$ and $n\in\mathbb{N}),$ in terms of multiple hypergeometric functions of Kampé de Fériet having the arguments $\pm1$ and Riemann ze...

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Bibliographic Details

Published in:	Notes on number theory and discrete mathematics Vol. 30; no. 3; pp. 499 - 515
Main Authors:	Qureshi, Mohammad Idris, Malik, Shakir Hussain
Format:	Journal Article
Language:	English
Published:	"Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences 01.10.2024
Subjects:	hypergeometric functions kampe de feriet multiple hypergeometric functions log-cosine integrals riemann zeta function
ISSN:	1310-5132, 2367-8275
Online Access:	Get full text
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